Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis

Details Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis

1997-11-26

arxiv.org/abs/math/9712201v1

Mathematics

Combinatorics

21 pages, AmS-LaTeX, uses TeXDraw Extended Abstract, submitted to FPSAC'98

Scientific paper

We compute the number of rhombus tilings of a hexagon with sides
$N,M,N,N,M,N$, which contain a fixed rhombus on the symmetry axis. A special
case solves a problem posed by Jim Propp.

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